GCF of 8046/472, 9768/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8046/472, 9768/366 i.e 6/86376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8046/472, 9768/366.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8046/472,9768/366?
Given fractions are 8046/472,9768/366
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8046/472,9768/366, numerators are 8046,9768
Denominators are 472,366
The GCF of 8046,9768 is 6 .
LCM of 472,366 is 86376.
The greatest common factor of 8046/472,9768/366 = [GCF of 8046,9768]/[LCM of 472,366]= 6/86376
Therefore, the GCF of 8046/472,9768/366 is 6/86376.
To find the highest common factor of 8046,9768, we have to find the factors of both numbers and list the highest common factor.
The factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046
The factors of 9768 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884, 9768
The HCF of 8046,9768 is 6.
Lets's calculate GCF of 8046,9768
| 2 | 8046, 9768 |
| 3 | 4023, 4884 |
| 1341, 1628 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8046,9768 By Matching Biggest Common Factor Method
Now, list down the factors of 8046
:1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Now, list down the factors of 9768
:1,2,3,4,6,8,11,12,22,24,33,37,44,66,74,88,111,132,148,222,264,296,407,444,814,888,1221,1628,2442,3256,4884,9768
Greatest Common Factor
We found the factors 8046,9768 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,9768 is 6.
Lets's calculate LCM of 472,366
| 2 | 472, 366 |
| 236, 183 |
∴ So the LCM of the given numbers is 2 x 236 x 183 = 86376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/86376
Therefore, the GCF of Fractions 8046/472,9768/366 is 6/86376
Least Common Multiple of 472,366 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 472,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,366) x common factors =2 x 1 = 2
LCM(472,366) = ( 472 × 366 ) / 2
LCM(472,366) = 172752 / 2
LCM(472,366) = 86376
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8046/472, 9768/366
1. What is the HCF of 8046,9768?
The HCF of 8046,9768 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8046/472, 9768/366?
Answer: GCF of Numerators as per given numbers 8046/472, 9768/366 is
GCF of Numerators i.e. for 8046,9768 is 6
LCM of denominators i.e. for 472,366 is 86376.
Thus, GCF of Fractions is 6/86376.Finally, GCF of Fractions for 8046/472, 9768/366 is 6/86376.